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Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₁ using the following values. A = x(t) = 5-6 40 [; -2]·--[*]-[:] f(t) = 60 0 x(0) = eAt 0 1-et+6e4t 6e-t-6e4 -e-t+e4t 6e-t-e4t 4t

Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₁ using the following values. A = x(t) = 5-6 40 [; -2]·--[*]-[:] f(t) = 60 0 x(0) = eAt 0 1-et+6e4t 6e-t-6e4 -e-t+e4t 6e-t-e4t 4t

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values. A = x(t) = 5 - 6 1 - 2 40 -[*]* 60 f(t) = -[:] x(0) = e At = 1-et+6e4t 6e¯t - 6e4t e4t 5 -et+et6et_ 4t
Transcribed Image Text:Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values. A = x(t) = 5 - 6 1 - 2 40 -[*]* 60 f(t) = -[:] x(0) = e At = 1-et+6e4t 6e¯t - 6e4t e4t 5 -et+et6et_ 4t
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